期刊
JOURNAL OF MEMBRANE SCIENCE
卷 286, 期 1-2, 页码 260-268出版社
ELSEVIER
DOI: 10.1016/j.memsci.2006.10.004
关键词
fractal aggregate; cell model; quadratic permeability; cake resistance; settling velocity; aggregate-enhanced membrane filtration (AEMF)
The ideal aggregate characterized by the quadratically increasing permeability kappa(r) = k(2)r(2) (i.e., inverse permeability) of a cake layer composed of deposited aggregates formed in the diffusion-limited-cluster-aggregation (DLCA) regime. Happel's cell model is employed in this study by embedding the ideal aggregate in the center of a spherical cell of tangential stress-free surface. The specific resistance is analytically calculated as a function of the occupancy fraction and then compared to those of conventional cake layers of equal-sized spherical colloids and uniformly porous spheres. The DLCA cake layer provides significantly less specific resistance and therefore shows the remarkable potential of aggregate-enhanced membrane filtration (AEMF) as a new protocol for colloidal filtration. The settling velocity of a swarm of the ideal aggregates is investigated as a by-product and experimental verification of this theory. (c) 2006 Elsevier B.V. All rights reserved.
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